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Finding the Fourth Proportional to 686,362.44, 947,177.46 and 384,555.72

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Solution

The fourth proportional to 686,362.44, 947,177.46 and 384,555.72 is: 530,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,362.44 : 947,177.46 = 384,555.72 : x
  2. Step 2: Convert to fraction form
    686,362.44/947,177.46 = 384,555.72/x
  3. Step 3: Cross multiply
    686,362.44x = 947,177.46 × 384,555.72
  4. Step 4: Simplify right side
    686,362.44x = 364,242,510,098.07
  5. Step 5: Solve for x
    x = 364,242,510,098.07/686,362.44
  6. Step 6: Final answer
    x = 530,685.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.